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Time taken for Completion of Reaction given Product Concentration Formula

GoTime taken for 1st Order Opposed by 1st Order Reaction Formula

GoTime taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant Formula

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Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction. Check FAQs

t = (\frac{1}{k f + k b}) \cdot \ln (A 0 \cdot \frac{k f}{k f \cdot (A 0 - B) - k b \cdot B})

t - Time?k_f - Forward Reaction Rate Constant?k_b - Backward Reaction Rate Constant?A₀ - Initial Concentration of Reactant A?B - Concentration of B?

Time taken for Completion of Reaction given Product Concentration Example

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Here is how the Time taken for Completion of Reaction given Product Concentration equation looks like with Values.

Here is how the Time taken for Completion of Reaction given Product Concentration equation looks like with Units.

Here is how the Time taken for Completion of Reaction given Product Concentration equation looks like.

1107.896 = (\frac{1}{9.7E-5 + 4.2E-5}) \cdot \ln (100 \cdot \frac{9.7E-5}{9.7E-5 \cdot (100 - 10) - 4.2E-5 \cdot 10})

1107.896s = (\frac{1}{9.7E-5s⁻¹ + 4.2E-5s⁻¹}) \cdot \ln (100mol/L \cdot \frac{9.7E-5s⁻¹}{9.7E-5s⁻¹ \cdot (100mol/L - 10mol/L) - 4.2E-5s⁻¹ \cdot 10mol/L})

1107.896 = (\frac{1}{9.7E-5 + 4.2E-5}) \cdot \ln (100 \cdot \frac{9.7E-5}{9.7E-5 \cdot (100 - 10) - 4.2E-5 \cdot 10})

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Time taken for Completion of Reaction given Product Concentration Solution

Follow our step by step solution on how to calculate Time taken for Completion of Reaction given Product Concentration?

FIRST Step Consider the formula

t = (\frac{1}{k f + k b}) \cdot \ln (A 0 \cdot \frac{k f}{k f \cdot (A 0 - B) - k b \cdot B})

Next Step Substitute values of Variables

∴

t = (\frac{1}{9.7E-5s⁻¹ + 4.2E-5s⁻¹}) \cdot \ln (100mol/L \cdot \frac{9.7E-5s⁻¹}{9.7E-5s⁻¹ \cdot (100mol/L - 10mol/L) - 4.2E-5s⁻¹ \cdot 10mol/L})

Next Step Convert Units

∴

t = (\frac{1}{9.7E-5s⁻¹ + 4.2E-5s⁻¹}) \cdot \ln (100000mol/m³ \cdot \frac{9.7E-5s⁻¹}{9.7E-5s⁻¹ \cdot (100000mol/m³ - 10000mol/m³) - 4.2E-5s⁻¹ \cdot 10000mol/m³})

Next Step Prepare to Evaluate

∴

t = (\frac{1}{9.7E-5 + 4.2E-5}) \cdot \ln (100000 \cdot \frac{9.7E-5}{9.7E-5 \cdot (100000 - 10000) - 4.2E-5 \cdot 10000})

Next Step Evaluate

∴

t = 1107.89603764001s

LAST Step Rounding Answer

∴

t = 1107.896s

Time taken for Completion of Reaction given Product Concentration Formula Elements

Variables

Functions

Time

Time is used to defined as the period of time that is required for the reactant to given a certain amount of product in a chemical reaction.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than -1.

Formulas to find Time

Forward Reaction Rate Constant

Forward Reaction Rate Constant is used to define the relationship between the molar concentration of the reactants and the rate of the chemical reaction in forward direction.

Symbol: k_f

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Forward Reaction Rate Constant

Backward Reaction Rate Constant

Backward Reaction Rate Constant is defined as the relationship between the molar concentration of the reactants and the rate of the chemical reaction in backward direction.

Symbol: k_b

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Backward Reaction Rate Constant

Initial Concentration of Reactant A

Initial Concentration of Reactant A is defined as the concentration of the reactant A at time t=0.

Symbol: A₀

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than 0.

Formulas to find Initial Concentration of Reactant A

Concentration of B

Concentration of B is defined as the amount of substance B present after reacting for a given interval of time t.

Symbol: B

Measurement: Molar ConcentrationUnit: mol/L

Note: Value should be greater than -1.

Formulas to find Concentration of B

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Time

Go Time taken for 1st Order Opposed by 1st Order Reaction

t = \frac{\ln (\frac{x eq}{x eq - x})}{k f + k b}

Go Time taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant

t = (\frac{1}{k f}) \cdot (\frac{x eq}{A 0}) \cdot \ln (\frac{x eq}{x eq - x})

Go Time taken when Initial Concentration of Reactant B greater than 0

t = \frac{1}{k f} \cdot \ln (\frac{x eq}{x eq - x}) \cdot (\frac{B 0 + x eq}{A 0 + B 0})

Other formulas in First Order Opposed by First Order Reactions category

Go Forward Reaction Rate Constant of First Order Opposed by First Order Reaction

k f = (\frac{\ln (\frac{x eq}{x eq - x})}{t}) - k b

Go Backward Reaction Rate Constant of First Order Opposed by First Order Reaction

k b = (\frac{\ln (\frac{x eq}{x eq - x})}{t back}) - k f

Go Product Concentration of 1st Order Opposed by 1st Order Reaction at given Time t

x = x eq \cdot (1 - \exp (- (k f + k b) \cdot t))

Go Equilibrium Reactant Concentration of First Order Opposed by First Order Reaction at given Time t

x eq = \frac{x}{1 - \exp (- (k f + k b) \cdot t)}

How to Evaluate Time taken for Completion of Reaction given Product Concentration?

Time taken for Completion of Reaction given Product Concentration evaluator uses Time = (1/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*ln(Initial Concentration of Reactant A*Forward Reaction Rate Constant/(Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of B)-Backward Reaction Rate Constant*Concentration of B)) to evaluate the Time, The Time taken for Completion of Reaction given Product Concentration formula is defined as the time interval required to convert a particular concentration reactant to a certain concentration of product in a First Order Opposed by First Order Reaction. Time is denoted by t symbol.

How to evaluate Time taken for Completion of Reaction given Product Concentration using this online evaluator? To use this online evaluator for Time taken for Completion of Reaction given Product Concentration, enter Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b), Initial Concentration of Reactant A (A₀) & Concentration of B (B) and hit the calculate button.

FAQs on Time taken for Completion of Reaction given Product Concentration

What is the formula to find Time taken for Completion of Reaction given Product Concentration?

The formula of Time taken for Completion of Reaction given Product Concentration is expressed as Time = (1/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*ln(Initial Concentration of Reactant A*Forward Reaction Rate Constant/(Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of B)-Backward Reaction Rate Constant*Concentration of B)). Here is an example- 1107.896 = (1/(9.74E-05+4.18E-05))*ln(100000*9.74E-05/(9.74E-05*(100000-10000)-4.18E-05*10000)).

How to calculate Time taken for Completion of Reaction given Product Concentration?

With Forward Reaction Rate Constant (k_f), Backward Reaction Rate Constant (k_b), Initial Concentration of Reactant A (A₀) & Concentration of B (B) we can find Time taken for Completion of Reaction given Product Concentration using the formula - Time = (1/(Forward Reaction Rate Constant+Backward Reaction Rate Constant))*ln(Initial Concentration of Reactant A*Forward Reaction Rate Constant/(Forward Reaction Rate Constant*(Initial Concentration of Reactant A-Concentration of B)-Backward Reaction Rate Constant*Concentration of B)). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Time?

Here are the different ways to Calculate Time-

Time=ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))/(Forward Reaction Rate Constant+Backward Reaction Rate Constant)
Time=(1/Forward Reaction Rate Constant)*(Concentration of Reactant at Equilibrium/Initial Concentration of Reactant A)*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))
Time=1/Forward Reaction Rate Constant*ln(Concentration of Reactant at Equilibrium/(Concentration of Reactant at Equilibrium-Concentration of Product at Time t))*((Initial Concentration of Reactant B+Concentration of Reactant at Equilibrium)/(Initial Concentration of Reactant A+Initial Concentration of Reactant B))

Can the Time taken for Completion of Reaction given Product Concentration be negative?

Yes, the Time taken for Completion of Reaction given Product Concentration, measured in Time can be negative.

Which unit is used to measure Time taken for Completion of Reaction given Product Concentration?

Time taken for Completion of Reaction given Product Concentration is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time taken for Completion of Reaction given Product Concentration can be measured.

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Time taken for Completion of Reaction given Product Concentration Formula

​GoTime taken for 1st Order Opposed by 1st Order Reaction Formula

​GoTime taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant Formula

Time taken for Completion of Reaction given Product Concentration Example

Time taken for Completion of Reaction given Product Concentration Solution

Time taken for Completion of Reaction given Product Concentration Formula Elements

Other Formulas to find Time

Other formulas in First Order Opposed by First Order Reactions category

How to Evaluate Time taken for Completion of Reaction given Product Concentration?

FAQs on Time taken for Completion of Reaction given Product Concentration

Variable Name

GoTime taken for 1st Order Opposed by 1st Order Reaction Formula

GoTime taken for 1st Order Opposed by 1st Order Reaction given Initial Concentration of Reactant Formula